Escape probabilities for branching Brownian motion among soft obstacles (Q430982)

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scientific article; zbMATH DE number 6050427
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Escape probabilities for branching Brownian motion among soft obstacles
scientific article; zbMATH DE number 6050427

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    Escape probabilities for branching Brownian motion among soft obstacles (English)
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    26 June 2012
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    The paper is devoted to the study of the long-term behaviour of a branching Brownian motion killed in Poissonian obstacles. The problem is reduced to solving a semilinear partial differential equation with singular boundary conditions. Then, the obtained results are reformulated in terms of a solution to differential equations.
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    branching Brownian motion
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    Poissonian obstacles
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    super-Brownian motion
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    escape probability
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    homogenization
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    semilinear partial differential equation
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